Answer:
2/3
Step-by-step explanation:
Let n = the repeating, non-terminating number 0.666...
We now have n = 0.666666...
We want the number n in the form of a fraction.
Since only 1 digit repeats, the 6, use a 1 followed by 1 zero, which means the number 10. Now multiply both sides by 10 and write the original equation below it.
10n = 6.666666...
n = 0.666666...
Subtract the bottom equation from the top equation.
9n = 6
n = 6/9
n = 2/3
3 consecutive even integers : x, x + 2, x + 4
x + (x + 2) + (x + 4) = -84.....combine like terms
3x + 6 = - 84.......subtract 6 from each side
3x = -84 - 6
3x = - 90...divide both sides by 3
x = -90/3
x = -30
x + 2 = -30 + 2 = -28
x + 4 = -30 + 4 = -26
so ur 3 numbers are : -26, -28, -30
If you cut them into equal parts they will be 12.5 inches each piece.
Answer:
it can help you with answer a math problem
Step-by-step explanation:
Answer:
Step-by-step explanation:
The picture is below of how to separate this into 2 different regions, which you have to because it's not continuous over the whole function. It "breaks" at x = 2. So the way to separate this is to take the integral from x = 0 to x = 2 and then add it to the integral for x = 2 to x = 3. In order to integrate each one of those "parts" of that absolute value function we have to determine the equation for each line that makes up that part.
For the integral from [0, 2], the equation of the line is -3x + 6;
For the integral from [2, 3], the equation of the line is 3x - 6.
We integrate then:
and
sorry for the odd representation; that's as good as it gets here!
Using the First Fundamental Theorem of Calculus, we get:
(6 - 0) + (-4.5 - (-6)) = 6 + 1.5 = 7.5
